Geoff Barrett July 28, 1989  Home/Search
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Abstract: This report presents a formalisation of the IEEE standard for binary floating-point arithmetic in the set-theoretic specification language Z. The formal specification is refined into four sequential components which unpack the operands, perform the arithmetic, pack and round the result. This refinement follows proven rules and so demonstrates a mathematically rigorous method of program development. In the course of the proofs useful internal representations of floating-point numbers are... (Update)
Context of citations to this paper: More
...related works in the open literature on the formalization and veri cation of IEEE standard based oating point arithmetic. For instance, Barett [2] speci ed parts of the IEEE 754 standard in Z, and Miner [18] formalized the IEEE 854 oating point standard in PVS. The latter de ned...
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BibTeX entry: (Update)
Geoff Barrett, "Formal methods applied to a floating-point number system", IEEE-TSE, vol. 15, pp. 611--621, May 1989. http://citeseer.ist.psu.edu/barrett89formal.html More
@article{ barrett89formal,
author = "G. Barrett",
title = "Formal Methods Applied to a Floating-Point Number System",
journal = "IEEE Transactions on Software Engineering",
volume = "15",
number = "5",
pages = "611--621",
year = "1989",
url = "citeseer.ist.psu.edu/barrett89formal.html" }
Citations (may not include all citations):154 A specification language and its formal semantics (context) - Spivey - 1988
32 Formal Methods applied to floating-point Number System - Barrett - 1987
32 The specification statement, to appear in TOPLAS C. Morgan, .. (context) - Morgan - 1987
17 A simple but realistic model of floating-point computation (context) - Brown - 1981 ACM DBLP
6 A test of a computer's floating-point arithmetic unit - Schryer - 1981
3 Floating-point interval arithmetic for validation (context) - Wichmann - 1986
2 London PrenticeHall International (context) - Specification, London et al. - 1986
2 Formal Methods for Stepwise Refinement in the Z Specificatio.. (context) - Josephs
1 Specification and development of a correct division algorith.. (context) - Shepherd - 1987
1 New York ANSIIEEE Std (context) - for, Point et al. - 1985
1 The development of a floating-point validation package (context) - DuCroz, Pont - 1984
The graph only includes citing articles where the year of publication is known.
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